Finding the Fourth Proportional to 7,704,982,311,201.60, 11,557,211,710,721 and 1,974,670,155,885.10
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Solution
The fourth proportional to 7,704,982,311,201.60, 11,557,211,710,721 and 1,974,670,155,885.10 is: 2,961,938,149,712.31
Step by Step Solution
- Step 1: Write the proportion equation
7,704,982,311,201.60 : 11,557,211,710,721 = 1,974,670,155,885.10 : x - Step 2: Convert to fraction form
7,704,982,311,201.60/11,557,211,710,721 = 1,974,670,155,885.10/x - Step 3: Cross multiply
7,704,982,311,201.60x = 11,557,211,710,721 × 1,974,670,155,885.10 - Step 4: Simplify right side
7,704,982,311,201.60x = 22,821,681,050,406,543,268,249,600 - Step 5: Solve for x
x = 22,821,681,050,406,543,268,249,600/7,704,982,311,201.60 - Step 6: Final answer
x = 2,961,938,149,712.31
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Why These Related Problems?
These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.